The volume of a ball is given in terms of its radius by V=(4*pi/3)*R^3. Use this to find the average density of Nursat, i.e. the mass per unit volume. Use Earth'€™s mass in kg from the Table of Constants to express your answer in kg/m3.
To find the average density of Nursat, we need to determine the mass per unit volume. We know the formula for the volume of a ball is V = (4/3)*π*R^3, where V is the volume and R is the radius of the ball.
However, we need to find the average density of Nursat, which requires Earth's mass per unit volume expressed in kg/m^3. Let's assume Earth's mass is M kg, and we can find its volume using the formula V = (4/3)*π*R^3.
Since we only know Earth's mass in kg, we cannot directly measure its volume. Instead, we can use its radius and the formula for volume to find a rough estimate.
To find Earth's radius, we can refer to the Table of Constants, where it is mentioned. Let's assume the radius of Earth is R_e. We'll use this radius to find the volume of Earth.
Once we have determined the volume of Earth and its mass, we can calculate the average density.
Let's assume the radius of Earth, R_e = 6371 km ≈ 6,371,000 m (rounded to 6 significant figures).
Now, we substitute the radius, R_e, into the formula for volume of a ball to find the volume of Earth:
V_e = (4/3)*π*(R_e)^3
Next, we need to determine Earth's mass, M, in kilograms. Let's assume Earth's mass is 5.972 x 10^24 kg (from the Table of Constants).
Now, we can substitute the known values into the formula for average density:
Average density = M / V_e
Substituting the values of Earth's mass and the volume we calculated, we can determine the average density of Nursat in kg/m^3.